Diffraction of Wigner functions

Creagh, Stephen; Sieber, Martin; Gradoni, Gabriele; Tanner, Gregor K

Abstract

We describe the contribution of diffractive orbits to semiclassical approximations of Wigner function propagators. These contributions are based on diffractively scattered rays used in the geometrical theory of diffraction (GTD). They provide an extension of well-established approximations of Wigner-function propagators based on rays that propagate by specular reflection and refraction. The wider aim of this approach is to allow for diffractive mechanisms to be accounted for in Eulerian approaches to ray-tracing simulations. Such approaches propagate densities of rays rather than follow rays individually. They promise to be a more efficient means of performing ray-tracing simulations in complex environments with applications in, for example, planning of wireless signal coverage for mobile communication networks.

• Journal Article Type: Article
• Acceptance Date: Oct 30, 2020
• Online Publication Date: Nov 26, 2020
• Publication Date: Jan 8, 2021
• Deposit Date: Dec 10, 2020
• Publicly Available Date: Dec 18, 2020
• Journal: Journal of Physics A: Mathematical and Theoretical
• Print ISSN: 1751-8113
• Electronic ISSN: 1751-8121
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 54
• Issue: 1
• Article Number: 015701
• DOI: https://doi.org/10.1088/1751-8121/abc72a
• Keywords: Modelling and Simulation; Statistics and Probability; Mathematical Physics; General Physics and Astronomy; Statistical and Nonlinear Physics
• Public URL: https://nottingham-repository.worktribe.com/output/5022012
• Publisher URL: https://iopscience.iop.org/article/10.1088/1751-8121/abc72a